Video projection apparatus capable of operating at optimum resonant frequency and its controlling method

ABSTRACT

A video projection apparatus includes: a light source; an optical deflector having a mirror for reflecting light to project a view field, an actuator for rocking the mirror with an axis of the mirror and a sensor provided in the vicinity of the actuator; and a control unit. The control unit generates a sine-wave voltage applied to the actuator and a cosine-wave voltage; calculates a first convolution between the sine-wave voltage and a sense voltage from the sensor; calculates a second convolution between the cosine-wave voltage and the sense voltage; converts an orthogonal coordinate formed by the first convolution and the second convolution into a polar coordinate formed by a radius component and an angle component; and sweeps the frequency of the first and second voltages so that the frequency is defined as a resonant frequency when the radius component is maximum.

This application claims the priority benefit under 35 U.S.C. §119 to Japanese Patent Application No. JP2014-216269 filed on Oct. 23, 2014, which disclosure is hereby incorporated in its entirety by reference.

BACKGROUND

1. Field

The presently disclosed subject matter relates to a video projection apparatus and its controlling method. The video projection apparatus can be used as a pico projector, a head mount display (HMD) unit, a head up display (HUD) unit and the like.

2. Description of the Related Art

A prior art video projection apparatus is constructed by a two-dimensional optical deflector as an optical scanner manufactured by a micro electro mechanical system (MEMS) device manufactured using a semiconductor process and micro machine technology (see: JP2012-530264A & US2010/0315552A1). Since the MEMS optical scanner is focus-free, the video projection unit can be small in size.

In the above-described prior art video projection apparatus, when rocking the MEMS scanner in a main scanning at a high resonant frequency, a digital phase locked loop (PLL) circuit is provided to receive a sense voltage from a sensor within the optical deflector and generate a phase signal phase-locked to the sense voltage.

In the above-described prior art video projection apparatus, however, since the MEMS scanner is susceptible to electromagnetic interference (EMI) noises and external noises by environmental factors such as temperature and the humidity, the digital PLL circuit may not operate at an optimal frequency and phase, so that an optimum resonant frequency would not be realized. As a result, it is difficult to accurately control a projected view field.

Also, in the above-described prior art video projection apparatus, although the frequency and phase are locked, the amplitude of the sense voltage representing the flexing angle of a mirror of the MEMS scanner can not be monitored by the digital PLL circuit, it would be difficult to accurately realize an optimum resonant frequency. As a result, it is difficult to accurately control a projected view field.

SUMMARY

The presently disclosed subject matter seeks to solve the above-described problem.

According to the presently disclosed subject matter, a video projection apparatus includes a video projection apparatus that includes: a light source; an optical deflector having a mirror for reflecting light from the light source to project a view field, an actuator for rocking the mirror with an axis of the mirror and a sensor provided in the vicinity of the actuator; and a control unit. The control unit generates a first sinusoidal-wave voltage applied to the actuator and a second sinusoidal-wave voltage having the same frequency as that of the first sinusoidal-wave voltage and a difference in phase of 90° to the first sinusoidal-wave voltage; calculates a first convolution between the first sinusoidal-wave voltage and a sense voltage from the sensor; calculates a second convolution between the second sinusoidal-wave voltage and the sense voltage; converts an orthogonal coordinate formed by the first convolution and the second convolution into a polar coordinate formed by a radius component and an angle component; and sweeps the frequency of the first and second sinusoidal-wave voltages so that the frequency of the first and second sinusoidal-wave voltages is defined as a resonant frequency when the radius component is maximum.

Also, in a method for controlling a video projection apparatus including: a light source; and an optical deflector having a mirror for reflecting light from the light source to project a view field, an actuator for rocking the mirror with an axis of the mirror and a sensor provided in the vicinity of the actuator, the method includes: generating a first sinusoidal-wave voltage applied to the actuator and a second sinusoidal-wave voltage having the same frequency as that of the first sinusoidal-wave voltage and a difference in phase of 90° to the first sinusoidal-wave voltage; calculating a first convolution between the first sinusoidal-wave voltage and a sense voltage from the sensor; calculating a second convolution between the second sinusoidal-wave voltage and the sense voltage; converting an orthogonal coordinate formed by the first convolution and the second convolution into a polar coordinate formed by a radius component and an angle component; and sweeping the frequency of the first and second sinusoidal-wave voltages so that the frequency of the first and second sinusoidal-wave voltages is defined as a resonant frequency when the radius component is maximum.

According to the presently disclosed subject matter, since a resonant frequency is determined by the maximum radius component, the resonant frequency can be optimum, so that the projected view field can accurately be controlled.

BRIEF DESCRIPTION OF THE DRAWINGS

The above and other advantages and features of the presently disclosed subject matter will be more apparent from the following description of certain embodiments, taken in conjunction with the accompanying drawings, wherein:

FIG. 1 is a block circuit diagram illustrating an embodiment of the video projection apparatus according to the presently disclosed subject matter;

FIG. 2 is a perspective view of the MEMS optical deflector of FIG. 1;

FIGS. 3A and 3B are perspective views for explaining the operation of the outer piezoelectric actuator of FIG. 2;

FIGS. 4A, 4B and 4C are timing diagrams for explaining the horizontal operation of the MEMS optical deflector of FIG. 1;

FIGS. 5A, 5B and 5C are timing diagrams for explaining the vertical operation of the MEMS optical deflector of FIG. 1;

FIG. 6 is a diagram showing the relationship between a scanning locus of the MEMS optical deflector and a projected view field of the laser beam of the laser light source of FIG. 1;

FIG. 7 is a detailed block diagram of the drive signal processing section of FIG. 1;

FIG. 8A is a graph illustrating a relationship between the frequency and the radius component R of the polar coordinate (R, θ) of FIG. 7;

FIG. 8B is a graph illustrating a relationship between the frequency and the angle component θ of the polar coordinate (R, θ) of FIG. 7;

FIGS. 9A and 9B are flowcharts for explaining the operation of the drive signal generating section of FIG. 1; and

FIG. 10 is a diagram showing the relationship between a scanning locus of the light source drive unit and a projected view field of the laser beam of the laser light source of FIG. 1.

DETAILED DESCRIPTION OF EXEMPLARY EMBODIMENTS

In FIG. 1, which illustrates an embodiment of the video projection apparatus according to the presently disclosed subject matter, a video projection apparatus 1 receives a video signal VS from a video source such as a personal computer or a camera system to generate a laser beam L for a screen 2.

The video projection apparatus 1 is constructed by a video signal input unit 11, a video signal processing section 12, a frame memory 13 and a control section 14 for controlling the video signal processing section 12 and the frame memory 13.

The video signal input unit 11 is an analog red/green/blue (RGB) receiver or a digital video signal receiver such as a digital video interface (DVI), or a high-definition multimedia interface (HDMI). Video signals received by the video signal input unit 11 are processed by a video signal processing section 12 and are stored in the frame memory 13 frame by frame. For example, 60 frames per second are stored in the frame memory 13. The frame memory 13 is formed by a high-speed random access memory (RAM) such as an SDRAM, a DDR2 SDRAM or a DDR3 SDRAM. In this case, one frame of the frame memory 13 corresponds to a view field formed by a horizontal angle of 40° and a vertical angle of 25° (see: FIG. 6).

Also, the video projection apparatus 1 is constructed by a drive signal generating section 15, a drive signal processing section 16, and a pixel data extracting section 17. The drive signal generating section 15 generates drive voltages V_(xa) and V_(ya) which are transmitted via a drive unit 18 formed by digital-to-analog (D/A) converters 181 and 182, amplifiers 183 and 184, and inverters 185 and 186 to a MEMS optical deflector 19. In this case, the drive voltages V_(xa) and V_(ya) and their inverted drive voltages V_(xb) and V_(yb) are supplied to the MEMS optical deflector 19. On the other hand, the MEMS optical deflector 19 generates sense voltages V_(xss), V_(xsb); and V_(ysa), V_(ysb); in response to the flexing angle of the mirror thereof which are supplied via a sense signal input unit 20 formed by amplifiers 201, 202, 203 and 204 and analog-to-digital (A/D) converters 205, 206, 207 and 208 to the drive signal processing section 16. The pixel data extracting section 17 generates a drive signal which is supplied to a light source drive unit 21 formed by a D/A converter 211 and an amplifier 212 for supplying a drive current I_(d) to a laser light source 22. Note that the light source drive unit 21 and the laser light source 22 can be provided for each of red (R), green (G) and blue (B). Also, the laser light source 22 can be replaced by a light emitting diode (LED) source.

The drive signal generating section 15, the drive signal processing section 16 and the pixel data extracting section 17 are controlled by the control section 14.

In more detail, the drive signal generating section 15 transmits extracting timing signals of pixel data to the pixel data extracting section 17. Also, the drive signal processing section 16 receives drive signals similar to the drive voltages V_(xa) and V_(ya) from the drive signal generating section 15 and the sense voltages V_(xsa), V_(xsb), V_(ysa) and V_(ysb) from the sense signal input unit 20 to transmit a delay timing signal to the pixel data extracting section 17 due to the delay transmission of the drive voltages V_(xa) and V_(ya) to the mirror of the MEMS optical deflector 19. Further, the pixel data extracting section 17 extracts pixel data from the local frame memory 13 in accordance with timing signals of the drive signal generating section 15 and the delay signal of the drive signal processing section 16.

In FIG. 1, the video signal processing section 12, the control section 14, the drive signal generating section 15, the drive signal processing section 16 and the pixel data extracting section 17 can be formed by a single control unit 23 or microcomputer using a field-programmable gate array (FPGA), an extensible processing platform (EPP) or a system-on-a-chip (SoC). The control section 14 has an interface function with a universal aysynchronous receiver transmitter (UART) and the like.

In FIG. 2, which is a perspective view of the MEMS optical deflector 19 of FIG. 1, the MEMS optical deflector 19 is constructed by a circular mirror 191 for reflecting incident light L from the laser light source 22, an inner frame (movable frame) 192 surrounding the mirror 191 for supporting the mirror 191, a pair of torsion bars 194 a and 194 b coupled between the mirror 191 and the inner frame 192, a pair of inner piezoelectric actuators 193 a and 193 b coupled between the inner frame 192 and the mirror 191 and serving as cantilevers for rocking the mirror 191 with respect to an X-axis of the mirror 191, an outer frame (support frame) 195 surrounding the inner frame 192, a pair of meander-type outer piezoelectric actuators 196 a and 196 b coupled between the outer frame 195 and the inner frame 192 and serving as cantilevers for rocking the mirror 191 through the inner frame 192 with respect to a Y-axis of the mirror 191 perpendicular to the X-axis, piezoelectric sensors 197 a and 197 b in the proximity of the inner piezoelectric actuators 193 a and 193 b at an edge of the torsion bar 194 b, and piezoelectric sensors 198 a and 198 b on the inner frame 192 in the proximity of the outer piezoelectric actuators 196 a and 196 b.

The inner frame 192 is rectangularly-framed to surround the mirror 191 associated with the inner piezoelectric actuators 193 a and 193 b.

The torsion bars 194 a and 194 b are arranged along the X-axis, and have ends coupled to the inner circumference of the inner frame 192 and other ends coupled to the outer circumference of the mirror 191. Therefore, the torsion bars 194 a and 194 b are twisted by the inner piezoelectric actuators 193 a and 193 b to rock the mirror 191 with respect to the X-axis.

The inner piezoelectric actuators 193 a and 193 b oppose each other along the Y-axis and sandwich the torsion bars 194 a and 194 b. The inner piezoelectric actuators 193 a and 193 b have ends coupled to the inner circumference of the inner frame 192 and other ends coupled to the torsion bars 194 a and 194 b. In this case, the flexing direction of the inner piezoelectric actuator 193 a is opposite to that of the inner piezoelectric actuator 193 b.

The outer frame 195 is rectangularly-framed to surround the inner frame 192 via the outer piezoelectric actuators 196 a and 196 b.

The outer piezoelectric actuators 196 a and 196 b are coupled between the inner circumference of the outer frame 195 and the outer circumference of the inner frame 192, in order to rock the inner frame 192 associated with the mirror 191 with respect to the outer frame 195, i. e., to rock the mirror 191 with respect to the Y-axis.

The outer piezoelectric actuator 196 a is constructed by piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 which are serially-coupled from the outer frame 195 to the inner frame 192. Also, each of the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 are in parallel with the X-axis of the mirror 191. Therefore, the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 are folded at every cantilever or meandering from the outer frame 195 to the inner frame 192, so that the amplitudes of the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 can be changed along directions perpendicular to the Y-axis of the mirror 191.

Similarly, the outer piezoelectric actuator 196 b is constructed by piezoelectric cantilevers 196 b-1, 196 b-2, 196 b-3 and 196 b-4 which are serially-coupled from the outer frame 195 to the inner frame 192. Also, each of the piezoelectric cantilevers 196 b-1, 196 b-2, 196 b-3 and 196 b-4 are in parallel with the X-axis of the mirror 191. Therefore, the piezoelectric cantilevers 196 b-1, 196 b-2, 196 b-3 and 196 b-4 are folded at every cantilever or meandering from the outer frame 195 to the inner frame 192, so that the amplitudes of the piezoelectric cantilevers 196 b-1, 196 b-2, 196 b-3 and 196 b-4 can be changed along directions perpendicular to the Y-axis of the mirror 191.

Note that the number of piezoelectric cantilevers in the outer piezoelectric actuator 196 a and the number of piezoelectric cantilevers in the outer piezoelectric actuator 196 b can be other values such as 2, 6, 8, . . . .

The piezoelectric sensors 197 a and 197 b serve as speed sensors that sense deflection angle deviations of the mirror 191 mainly caused by the inner piezoelectric actuators 193 a and 193 b. The output signals of the piezoelectric sensors 197 a and 197 b are substantially the same as each other, and opposite in phase to each other. These two output signals correspond to differentiated signals of the drive voltages V_(xa) and V_(xb). Also, a difference signal between the two output signals would cancel noises included therein. Note that one of the piezoelectric sensors 197 a and 197 b can be omitted.

The piezoelectric sensors 198 a and 198 b serve as speed sensors that sense deflection angle signals of the mirror 191 mainly caused by the outer piezoelectric actuators 196 a and 196 b. Note that the output signals of the piezoelectric sensors 196 a and 196 b are substantially the same as each other. These output signals correspond to a differentiated signal of the drive voltage V_(ya) or V_(yb). Note that one of the piezoelectric sensors 198 a and 198 b can be omitted.

The structure of each element of the MEMS optical deflector 19 is explained below.

The mirror 191 is constructed by a monocrystalline silicon support layer serving as a vibration plate and a metal layer serving as a reflector.

The inner frame 192, the torsion bars 194 a and 194 b and the outer frame 195 are constructed by the monocrystalline silicon support layer and the like.

Each of the piezoelectric actuators 194 a and 194 b and the piezoelectric cantilevers 196 a-1 to 196 a-4 and 196 b-1 to 196 b-4 and the piezoelectric sensors 197 a, 197 b, 197 a and 197 b is constructed by a Pt lower electrode layer, a lead titanate zirconate (PZT) layer and a Pt upper electrode layer.

The meander-type piezoelectric actuators 196 a and 196 b are described below.

In the piezoelectric actuators 196 a and 196 b, the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3, 196 a-4, 196 b-1, 196 b-2, 196 b-3 and 196 b-4 are divided into an odd-numbered group of the piezoelectric cantilevers 196 a-1 and 196 a-3; 196 b-1 and 196 b-3, and an even-numbered group of the piezoelectric cantilevers 196 a-2 and 196 a-4; 196 b-2 and 196 b-4 alternating with the odd-numbered group of the piezoelectric cantilevers 196 a-1 and 196 a-3; 196 b-1 and 196 b-3.

FIGS. 3A and 3B are perspective views for explaining the operation of the piezoelectric cantilevers of one outer piezoelectric actuator such as 196 a of FIG. 2. Note that FIG. 3A illustrates a non-operation state of the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 of the piezoelectric actuator 196 a, and FIG. 3B illustrates an operation state of the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4 of the outer piezoelectric actuator 196 a.

For example, as illustrated in FIG. 3B which illustrates only the piezoelectric cantilevers 196 a-1, 196 a-2, 196 a-3 and 196 a-4, when the odd-numbered group of the piezoelectric cantilevers 196 a-1, 196 a-3, 196 b-1 and 196 b-3 are flexed in one direction, for example, in a downward direction D, the even-numbered group of the piezoelectric cantilevers 196 a-2, 196 a-4, 196 b-2 and 196 b-4 are flexed in the other direction, i.e., in an upward direction U. On the other hand, when the odd-numbered group of the piezoelectric cantilevers 196 a-1, 196 a-3, 196 b-1 and 196 b-3 are flexed in the upward direction, the even-numbered group of the piezoelectric cantilevers 196 a-2, 196 a-4, 196 b-2 and 196 b-4 are flexed in the downward direction D.

Thus, the mirror 191 is rocked with respect to the Y-axis.

First, a main scanning operation or horizontal scanning operation by rocking the mirror 191 with respect to the X-axis is explained in detail with reference to FIGS. 4A, 4B and 4C.

As illustrated in FIGS. 4A and 4B, the drive voltage V_(xa) and the drive voltage V_(xb) generated from the drive unit 18 are sinusoidal at a relatively high resonant frequency f_(x) and symmetrical or opposite in phase to each other. As a result, the inner piezoelectric actuators 193 a and 193 b carry out flexing operations in opposite directions to each other, so that the torsion bars 194 a and 194 b are twisted to rock the mirror 191 with respect to the X-axis.

In this case, the changing rates of the drive voltages V_(xa) and V_(xb) are low at their lowest and highest levels as illustrated in FIGS. 4A and 4B, so that the brightness thereof at the screen 2 would be particularly high. Therefore, as illustrated in FIG. 4C, horizontal blanking periods BP_(X) for turning off the laser light source 22 are provided where the changing rates of the drive voltages V_(xa) and V_(xb) are low to make the brightness at the entire screen 2 uniform. Additionally, right-direction horizontal scanning periods RH alternating with left-direction horizontal scanning periods LH are provided between the horizontal blanking periods BP_(x), in order to increase the depicting time period, and thus the depicting efficiency.

Next, a sub scanning operation or vertical scanning operation by rocking the mirror 191 with respect to the Y-axis is explained in detail with reference to FIGS. 5A, 5B and 5C.

As illustrated in FIGS. 5A and 5B, the drive voltage V_(ya) and the drive voltage V_(yb) are saw-tooth-shaped at a relatively low non-resonant frequency f_(Y) and symmetrical or opposite in phase to each other. As a result, the piezoelectric cantilevers 196 a-1, 196 a-3, 196 b-1 and 196 b-3 and the piezoelectric cantilevers 196 a-2, 196 a-4, 196 b-2 and 196 b-4 carry out flexing operations in opposite directions to each other, so that the mirror 191 is rocked with respect to the Y-axis.

In this case, the changing rate of the drive voltages V_(ya) and V_(yb) are low at their lowest and highest levels as illustrated in FIGS. 5A and 5B, so that the brightness thereof at the screen 2 would be particularly high. Therefore, as illustrated in FIG. 5C, vertical blanking periods BP_(Y) for turning off the laser light source 22 are provided where the changing rates of the drive voltages V_(ya) and V_(yb) are low to make the brightness at the entire screen 2 uniform.

As illustrated in FIG. 6, which is a diagram illustrating a relationship between a scanning locus of the MEMS optical deflector 19 and a projected area of the laser beam L of the laser light source 22 of FIG. 1, a horizontal scanning line H and a vertical scanning line V by the MEMS optical deflector 19 are protruded from a projected view field F of the laser beam L defined by a horizontal angle of 40° for example, and a vertical angle of 25°, for example.

Next, the resonant frequency f_(r) of the main scanning operation is explained next with reference to FIGS. 7, 8A, 8B, 9A and 9B.

Since the piezoelectric sensor 197 a serves as a speed sensor as stated before, the sinusoidal drive voltage V_(xa) will be converted by the piezoelectric sensor 197 a into a sinusoidal sense voltage whose phase is delayed by 90° as compared with a phase of the sinusoidal drive signal V_(xa). In other words, if the drive voltage V_(xa) is sine-waved, the sense voltage V_(xsa) is cosine-waved.

In FIG. 7, which is a detailed block diagram of the drive signal processing section 16 of FIG. 1 for processing the sense voltage V_(xsa), convolution calculating sub sections 161 and 162 and an orthogonal coordinate-to-polar coordinate converting sub section 163 are provided.

Note that the elements other than the convolution calculating sub sections 161 and 162 and the orthogonal coordinate-to-polar coordinate converting sub section 163 are omitted from FIG. 7, in order to simplify the description.

In FIG. 7, the drive voltage V_(xa) is represented by

V _(xa) =A·sin(2πf _(x) ·t _(i))

where A is an amplitude;

f_(x) is a frequency; and

t_(i) is a timing point.

Also, a voltage V_(xa)′ is represented by

V _(xa) ′=A·cos(2πf _(x) ·t _(i)).

That is, the drive voltage V_(xa) and the voltage V_(xa)′ are both sinusoidal-wave voltages with a phase difference of 90° there between.

Further, a sense voltage V_(xsa) is represented by

V _(xsa) =B·cos(2πf _(x) ·t _(i)−θ)=B·cos(θ−2πf _(x) ·t _(i))

where B is an amplitude, and

θ is a phase difference.

The convolution calculating sub section 161 calculates a convolution X=(V_(xa)*V_(xsa))(θ) between the drive voltage V_(xa) and the sense voltage V_(xsa)(t_(i)) by

X=ΣAB·sin(2πf _(x) ·t _(i))·cos(θ−2πf _(x) ·t _(i)).

The convolution calculating sub section 162 calculates a convolution Y=(V_(xa)′*V_(xsa))(θ) between the voltage V_(xa)′ and the sense voltage V_(xsa)(t_(i)) by

Y=ΣAB·cos(2πf _(x) ·t _(i))·cos(θ−2πf _(x) ·t _(i)).

In the convolution calculating sub sections 161 and 162, there are 1000 or more timing points t_(i) within one period 1/f_(x) to suppress the noise.

The convolutions X and Y form an X-coordinate value and a Y-coordinate value of an orthogonal coordinate.

The orthogonal coordinate-to-polar coordinate converting sub section 163 converts the orthogonal coordinate (X, Y) calculated by the calculating sub sections 161 and 162 into a polar coordinate (R, θ) by

R(f _(x))=√{square root over ( )}(X ² +Y ²)

θ(f _(x))=tan⁻¹(X/Y)

where R(f_(x)) is a radius component showing the intensity (amplitude) of the sense voltage V_(xsa), i.e., the maximum flexing angle of the mirror 191; and

θ(f_(x)) is an angle component showing the phase difference between the drive voltage V_(xa) and the sense voltage V_(xsa), determined by a delay time by the operation of the mirror 191, a delay of transmission of signals through connections and the like.

The drive signal generating section 15 sweeps the frequency f_(x) of the drive voltage V_(xa) to drive the MEMS optical deflector 19 to obtain a radius component R(f_(x)) as shown in FIG. 8A and an angle component θ (f_(x)) as shown in FIG. 8B from the drive signal processing section 16. In FIG. 8A, the radius component R is represented by a flexing angle (deg) of the mirror 191.

As illustrated in FIG. 8A, when the radius component R is maximum, i.e., R=R_(r)=11°, the frequency f_(x) is a resonant frequency f_(r), in this case, 25166 Hz. If the allowance range of the radius component R is within one percent of the maximum radius component R_(r), Δf=3 Hz, the allowance range of the resonant frequency is from f_(r)−Δf(=25163 Hz) to f_(r)+Δf (=25169 Hz).

As illustrated in FIG. 8B, the angle component θ is θ_(r)=100° at the resonant frequency f_(x)=f_(r). Also, the allowance Δθ of the angle component θ is 5° corresponding to Δf=3 Hz.

As illustrated in FIG. 8B, the angle component (phase difference) θ has a linear relationship with the drive frequency f_(x). Therefore, the control of the frequency f_(x) of the drive voltage V_(xa) can be carried out by monitoring the angle component θ as illustrated in FIGS. 9A and 9B. Note that the flowcharts of FIGS. 9A and 9B are carried out by the drive signal generating section 15 at every predetermined time period.

At step 901 of FIG. 9A, it is determined whether or not θ<θ_(r) is satisfied. As a result, when θ<θ_(r), the control proceeds to step 902 which increases the angle component θ by Δ (positive value). On the other hand, when θ≧θ_(r), the control proceeds step 903 which decreases the angle component θ by Δ. Then, the control proceeds to step 904. Thus, the angle component θ is brought close to θ_(r), thus maintaining a projected view field, even if the frequency f_(x) is deviated from the resonant frequency f_(r).

Similarly, at step 911, it is determined whether θ satisfies θ>θ_(r)−Δθ, θ_(r)−Δθ≦θ≦θ_(r)+Δθ or θ>θ_(r)+Δθ. As a result, when θ<θ_(r)−Δθ, the control proceeds to step 912 which increases the angle component θ by Δ, while, when Δθ≧θ_(r)+Δθ, the control proceeds step 913 which decreases the angle component θ by Δ. Then, the control proceeds to step 914. On the other hand, when θ_(r)−Δθ≦θ≦θ_(r)+Δθ, the control proceeds directly to step 914. Thus, the angle component θ is brought close to θ_(r), thus maintaining a projected view field, even if the frequency f_(x) is deviated from the allowable range (f_(r)−Δf˜f_(r)+Δf) of the resonant frequency f_(r). In this case, since no change is performed upon the angle component θ when θ_(r)−Δθ≦θ≦θ_(r)+Δθ, chattering due to the noise can be prevented.

As illustrated in FIG. 10, which illustrates a relationship between a scanning locus of the light source drive unit 21 and a projected view field of the laser beam of the laser light source 22 of FIG. 1, since the drive voltages V_(xa) and V_(yb) are delayed by the mechanical operation of the MBMS optical deflector 19 and the like, the drive signal processing section 16 copies the horizontal scanning line H and the vertical scanning line V of the drive voltages V_(xa) and V_(ya) from the drive signal generating section 15 and delays the horizontal scanning line H and the vertical scanning line V by offsets OFFSET_(H) and OFFSET_(v) to generate horizontal scanning line H′ and vertical scanning line V′. Thus, the light source drive unit 21 is driven by the horizontal scanning line H′ and the vertical scanning line V′. As a result, a view field F′ can be surely projected on the screen 2. Also, since the drive system for the drive unit 18 and the MEMS optical deflector 19 is separated from the drive system for the pixel data extracting section 17, the light source drive unit 21 and the laser light source 22, the electromagnetic interference (EMI) noises therebetween can be suppressed.

In FIG. 2, note that the inner piezoelectric actuators 193 a and 193 b and the torsion bars 194 a and 194 b can be replaced by meander-type piezoelectric actuators.

In the above-described embodiment, the MEMS optical deflector 19 can be a MEMS electromagnetic optical deflector or a MEMS electrostatic optical deflector.

It will be apparent to those skilled in the art that various modifications and variations can be made in the presently disclosed subject matter without departing from the spirit or scope of the presently disclosed subject matter. Thus, it is intended that the presently disclosed subject matter covers the modifications and variations of the presently disclosed subject matter provided they come within the scope of the appended claims and their equivalents. All related or prior art references described above and in the Background section of the present specification are hereby incorporated in their entirety by reference. 

1. A video projection apparatus comprising: a light source; an optical deflector having a mirror for reflecting light from said light source to project a view field, an actuator for rocking said mirror with an axis of said mirror and a sensor provided in the vicinity of said actuator; and a control unit that generates a first sinusoidal-wave voltage applied to said actuator and a second sinusoidal-wave voltage having a same frequency as that of said first sinusoidal-wave voltage and a difference in phase of 90° to said first sinusoidal-wave voltage; calculates a first convolution between said first sinusoidal-wave voltage and a sense voltage from said sensor; calculates a second convolution between said second sinusoidal-wave voltage and said sense voltage; converts an orthogonal coordinate formed by said first convolution and said second convolution into a polar coordinate formed by a radius component and an angle component; and sweeps the frequency of said first and second sinusoidal-wave voltages so that the frequency of said first and second sinusoidal-wave voltages is defined as a resonant frequency when said radius component is maximum.
 2. The video projection apparatus as set forth in claim 1, wherein said angle component is defined as an optimum angle component when said radius component is maximum, said control unit adjusts the frequency of said first and second sinusoidal-wave voltages so that said angle component is brought close to said optimum angle component.
 3. The video projection apparatus as set forth in claim 2, said control unit determines whether or not said angle component is smaller than said optimum angle component; increases the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is smaller than said optimum angle component; and decreases the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is not smaller than said optimum angle component.
 4. The video projection apparatus as set forth in claim 2, said control unit determines whether or not said angle component is smaller than a first threshold value smaller than said optimum angle component; determines whether or not said angle component is larger than a second threshold value larger than said optimum angle component; increases the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is smaller than said first threshold value; and decreases the frequency of said first and second sinusoidal-wave voltages when it is determined that said optimum angle component is larger than said second threshold value.
 5. A method for controlling a video projection apparatus comprising: a light source; and an optical deflector having a mirror for reflecting light from said light source to project a view field, an actuator for rocking said mirror with an axis of said mirror and a sensor provided in the vicinity of said actuator, said method comprising: generating a first sinusoidal-wave voltage applied to said actuator and a second sinusoidal-wave voltage having a same frequency as that of said first sinusoidal-wave voltage and a difference in phase of 90° to said first sinusoidal-wave voltage; calculating a first convolution between said first sinusoidal-wave voltage and a sense voltage from said sensor; calculating a second convolution between said second sinusoidal-wave voltage and said sense voltage; converting an orthogonal coordinate formed by said first convolution and said second convolution into a polar coordinate formed by a radius component and an angle component; and sweeping the frequency of said first and second sinusoidal-wave voltages so that the frequency of said first and second sinusoidal-wave voltages is defined as a resonant frequency when said radius component is maximum.
 6. The method as set forth in claim 5, wherein said angle component is defined as an optimum angle component when said radius component is maximum, said method comprising adjusting the frequency of said first and second sinusoidal-wave voltage so that said angle component is brought close to said optimum angle component.
 7. The method as set forth in claim 6, further comprising: determining whether or not said angle component is smaller than said optimum angle component; increasing the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is smaller than said optimum angle component; and decreasing the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is not smaller than said optimum angle component.
 8. The method as set forth in claim 6, further comprising: determining whether or not said angle component is smaller than a first threshold value smaller than said optimum angle component; determining whether or not said angle component is larger than a second threshold value larger than said optimum angle component; increasing the frequency of said first and second sinusoidal-wave voltages when it is determined that said angle component is smaller than said first threshold value; and decreasing the frequency of said first and second sinusoidal-wave voltage when it is determined that said optimum angle component is larger than said second threshold value. 